What is the Greatest Common Factor of 15696 and 15700?

Greatest common factor (GCF) of 15696 and 15700 is 4.

GCF(15696,15700) = 4

We will now calculate the prime factors of 15696 and 15700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15696 and 15700.

How to find the GCF of 15696 and 15700?

We will first find the prime factorization of 15696 and 15700. After we will calculate the factors of 15696 and 15700 and find the biggest common factor number .

Step-1: Prime Factorization of 15696

Prime factors of 15696 are 2, 3, 109. Prime factorization of 15696 in exponential form is:

15696 = 2⁴ × 3² × 109¹

Step-2: Prime Factorization of 15700

Prime factors of 15700 are 2, 5, 157. Prime factorization of 15700 in exponential form is:

15700 = 2² × 5² × 157¹

Step-3: Factors of 15696

List of positive integer factors of 15696 that divides 15696 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 109, 144, 218, 327, 436, 654, 872, 981, 1308, 1744, 1962, 2616, 3924, 5232, 7848

Step-4: Factors of 15700

List of positive integer factors of 15700 that divides 15696 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 157, 314, 628, 785, 1570, 3140, 3925, 7850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15696 and 15700. The biggest common factor number is the GCF number.
So the greatest common factor 15696 and 15700 is 4.

Also check out the Least Common Multiple of 15696 and 15700